Please help me with my homework!!!! How to solve this problem? Find the waveleng

Question

Please help me with my homework!!!! How to solve this problem? Find the wavelength of an electron with energy E=2MeV. [hint: The de Broglie relation =h/p is correct at allenergies,but since this energy is relativeistic, you will have touse the relation E2=(pc)2 +(mc2)2 to find p.] answer is =6.4x10-13m Please help me with my homework!!!! How to solve this problem? Find the wavelength of an electron with energy E=2MeV. [hint: The de Broglie relation =h/p is correct at allenergies,but since this energy is relativeistic, you will have touse the relation E2=(pc)2 +(mc2)2 to find p.] answer is =6.4x10-13m

Explanation / Answer

      E2=(pc)2 +(mc2)2
The rest mass energy of electron is (mc2)=0.511 MeV
So 4 MeV = (pc)2 +(0.511MeV)2   
   pc = 1.9336 MeV
   p = 1.9336 MeV /c
   p = (1.9336 MeV)(1.6x10-13 J /MeV ) / 3x108 m/s
   =1.03126x10-21 kgm/s
   wavelength
   =h/p
   h = 6.626 x10 -34 Js
plug in values.
  

  

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